Lepton flavor violation inτdecays

Abstract

We study the lepton flavor violation (LFV) in tau decays in the framework of the supersymmetric seesaw mechanism with nonholomorphic terms for the lepton sector at a large $\tan\beta$. In particular, we analyze two new decay modes $\tau\to \ell f_0(980)$ and $\tau\to \ell K^{+} K^{-}$ arising from the scalar boson exchanges contrast to $\tau\to \ell\eta^{(\prime)}$ from the pseudoscalar ones. We find that the decay branching ratios of the two new modes could be not only as large as the current upper limits of $O(10^{-7})$, but also larger than those of $\tau\to \ell \eta^{(\prime)}$. Experimental searches for the two modes are important for the LFV induced by the scalar-mediated mechanism. In addition, we show that the decay branching ratios of $\tau\to \ell \mu^{+} \mu^{-}$ are related to those of $\tau\to \ell \eta$ and $\tau\to \ell f_0(980)$.